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Finding the Fourth Proportional to 153,277, 229,915.50 and 42,469

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Solution

The fourth proportional to 153,277, 229,915.50 and 42,469 is: 63,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,277 : 229,915.50 = 42,469 : x
  2. Step 2: Convert to fraction form
    153,277/229,915.50 = 42,469/x
  3. Step 3: Cross multiply
    153,277x = 229,915.50 × 42,469
  4. Step 4: Simplify right side
    153,277x = 9,764,281,369.50
  5. Step 5: Solve for x
    x = 9,764,281,369.50/153,277
  6. Step 6: Final answer
    x = 63,703.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.